The complicial model of $(\infty,ω)$-categories
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866914712000659456 |
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| author | Loubaton, Félix |
| author_facet | Loubaton, Félix |
| contents | It has been conjectured since the 1980s that Verity's $n$-complicial sets were a model for $(\infty,n)$-categories. This text is dedicated to providing a positive answer to this conjecture.
The proof of this result relies on a thorough study of Gray operations in (strict) $ω$-categories, in complicial sets, and in enriched (stratified) Segal precategories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2207_08504 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | The complicial model of $(\infty,ω)$-categories Loubaton, Félix Category Theory It has been conjectured since the 1980s that Verity's $n$-complicial sets were a model for $(\infty,n)$-categories. This text is dedicated to providing a positive answer to this conjecture. The proof of this result relies on a thorough study of Gray operations in (strict) $ω$-categories, in complicial sets, and in enriched (stratified) Segal precategories. |
| title | The complicial model of $(\infty,ω)$-categories |
| topic | Category Theory |
| url | https://arxiv.org/abs/2207.08504 |